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The problem presented asks to simplify the given expression:

\[
\frac{p^3 q^2 r^{-4}}{p^2 q^3 r^2}
\]

and then substitute the values \( p = 2 \), \( q = 3 \), and \( r = 6 \).

### Step 1: Simplify the Expression
To simplify the fraction of exponents, apply the properties of exponents:

\[
\frac{p^3}{p^2} = p^{3-2} = p^1
\]
\[
\frac{q^2}{q^3} = q^{2-3} = q^{-1}
\]
\[
\frac{r^{-4}}{r^2} = r^{-4-2} = r^{-6}
\]

Thus, the simplified expression becomes:

\[
p \cdot q^{-1} \cdot r^{-6}
\]

### Step 2: Substitute the Values
Now, substitute \( p = 2 \), \( q = 3 \), and \( r = 6 \):

\[
2 \cdot 3^{-1} \cdot 6^{-6}
\]

### Step 3: Evaluate the Expression
First, calculate each part:

\[
3^{-1} = \frac{1}{3}, \quad 6^{-6} = \frac{1}{6^6} = \frac{1}{46656}
\]

Now, multiply:

\[
2 \cdot \frac{1}{3} \cdot \frac{1}{46656} = \frac{2}{3} \cdot \frac{1}{46656} = \frac{2}{139968}
\]

Simplify the result:

\[
\frac{2}{139968} = 1.43 \times 10^{-5}
\]

However, this doesn't match the provided choices, indicating that possibly a different interpretation or step might be needed. Let me recheck the approach.

Bentuk sederhana dari: (p^3 * q^2 * r^(-4)) / (p^2 * q^3 * r^2) untuk p = 2, q = 3, dan r = 6 adalah?

Learn how to simplify the algebraic expression (p^3 * q^2 * r^(-4)) / (p^2 * q^3 * r^2) and substitute p=2, q=3, r=6. This problem covers key algebra concepts such as exponent rules and variable substitution, suitable for Grades 9-10 students.

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